1002000220021 has 12 divisors (see below), whose sum is σ = 1074173787940. Its totient is φ = 934407083520.

The previous prime is 1002000220019. The next prime is 1002000220061. The reversal of 1002000220021 is 1200220002001.

It can be written as a sum of positive squares in 6 ways, for example, as 67470062500 + 934530157521 = 259750^2 + 966711^2 .

It is not a de Polignac number, because 1002000220021 - 2¹ = 1002000220019 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002000220061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15872760 + ... + 15935761.

Almost surely, 2^{1002000220021} is an apocalyptic number.

It is an amenable number.

1002000220021 is a deficient number, since it is larger than the sum of its proper divisors (72173567919).

1002000220021 is a wasteful number, since it uses less digits than its factorization.

1002000220021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31808664 (or 31808647 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1002000220021 its reverse (1200220002001), we get a palindrome (2202220222022).

The spelling of 1002000220021 in words is "one trillion, two billion, two hundred twenty thousand, twenty-one".